Atkin-Lehner |
5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6565c |
Isogeny class |
Conductor |
6565 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19680 |
Modular degree for the optimal curve |
Δ |
70036240625 = 55 · 133 · 1012 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-143000,-20778125] |
[a1,a2,a3,a4,a6] |
j |
323395172637059952729/70036240625 |
j-invariant |
L |
1.4730471866556 |
L(r)(E,1)/r! |
Ω |
0.2455078644426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105040o1 59085i1 32825a1 85345d1 |
Quadratic twists by: -4 -3 5 13 |